APPROXIMATION OF STOCHASTIC PETRI NETS STEADY STATE BY CPN WITH PIECEWISE-CONSTANT MAXIMAL FIRING SPEEDS
Dimitri Lefebvre, Edouard Leclercq · 2010
Reliability analysis for reparable multi-components systems is based on stochastic discrete event mode ls like Markov models or Stochastic Petri Nets (SPNs). When the number of components increases, the analy tical expression of the steady state is tedious to work o ut because of the combinatory explosion with discre te models. For this reason, fluidification is investigated to estimate the asymptotic behaviour of the stochastic processe s with Continuous Petri Nets (CPNs). The contributions of this paper are to point out the limits of the CPNs to approxim ate the stochastic steady state and to propose continuous Petri nets w ith piecewise-constant maximal firing speeds for fl uidification.